3+2(x-6)=4(x-1)+5

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Solution for 3+2(x-6)=4(x-1)+5 equation: 


Simplifying
3 + 2(x + -6) = 4(x + -1) + 5

Reorder the terms:
3 + 2(-6 + x) = 4(x + -1) + 5
3 + (-6 * 2 + x * 2) = 4(x + -1) + 5
3 + (-12 + 2x) = 4(x + -1) + 5

Combine like terms: 3 + -12 = -9
-9 + 2x = 4(x + -1) + 5

Reorder the terms:
-9 + 2x = 4(-1 + x) + 5
-9 + 2x = (-1 * 4 + x * 4) + 5
-9 + 2x = (-4 + 4x) + 5

Reorder the terms:
-9 + 2x = -4 + 5 + 4x

Combine like terms: -4 + 5 = 1
-9 + 2x = 1 + 4x

Solving
-9 + 2x = 1 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-9 + 2x + -4x = 1 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-9 + -2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -2x = 1 + 0
-9 + -2x = 1

Add '9' to each side of the equation.
-9 + 9 + -2x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 1 + 9
-2x = 1 + 9

Combine like terms: 1 + 9 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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